Homotopy groups of highly connected Poincaré duality complexes

DOI10.25537/dm.2022v27.183-211zbMath1491.55010arXiv1812.05344MaRDI QIDQ2117191

Stephen D. Theriault, Piotr Beben

Publication date: 21 March 2022

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.05344

zbMATH Keywords

Poincaré duality complexloop space decompositionWhitehead productprincipal fibration

Mathematics Subject Classification ID

Loop spaces (55P35) Algebraic topology of manifolds (57N65) Whitehead products and generalizations (55Q15)

Related Items

Loop space decompositions of \((2n-2)\)-connected \((4n-1)\)-dimensional Poincaré duality complexes ⋮ Homotopy of manifolds stabilized by projective spaces ⋮ Loop space decompositions of highly symmetric spaces with applications to polyhedral products ⋮ Loop homotopy of 6-manifolds over 4-manifolds ⋮ Suspension homotopy of 6-manifolds

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